Ask Me Help Desk - Combine. Assume that all varibles represent nonnegative real numbers

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combine. Assume that all varibles represent nonnegative real numbers

sqrt 72x^3 -x sqrt 8x =

combine. Assume that all varibles represent nonnegative real numbers
(type and exact answer, using radicals as needed. Simplify your answer.

Quote:

Originally Posted by Dawny521

$\sqrt {72}x^3 -x \sqrt 8x =$

combine. assume that all variables represent nonnegative real numbers
(type and exact answer, using radicals as needed. simplify your answer.

$\sqrt {72x^3} -x \sqrt {8x} =$

$\sqrt {(9x^2)(8x)} -x \sqrt {8x} =$

$3x \sqrt {8x} -x \sqrt {8x} =2x \sqrt {8x} = 2x \sqrt {(4)(2x)}=4x \sqrt {2x}$

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